uppose u, and H, are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 9, x = 114.2, s, = 5.01, n = 9, y = 129.7, and s, 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) n USE SALT -20.68 -10.32

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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Suppose u, and µ, are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m =
9, х %3
114.2, s, = 5.01, n = 9, y = 129.7, and s,
5.36. Calculate
a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.)
In USE SALT
)
-20.68
-10.32
Transcribed Image Text:Suppose u, and µ, are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 9, х %3 114.2, s, = 5.01, n = 9, y = 129.7, and s, 5.36. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) In USE SALT ) -20.68 -10.32
Antipsychotic drugs are widely prescribed for conditions such as schizophrenia and bipolar disease. An article reported on body composition and metabolic changes for individuals who had taken various antipsychotic drugs for short
periods of time.
In USE SALT
SD
(a) The sample of 41 individuals who had taken aripiprazole had a mean change in total cholesterol (mg/dL) of 3.75, and the estimated standard error
was 3.678. Calculate a confidence interval with confidence level
n
approximately 95% for the true average increase in total cholesterol under these circumstances. (Round your answers to two decimal places.)
mg/dL
(b) The article also reported that for a sample of 36 individuals who had taken quetiapine, the sample mean cholesterol level change and estimated standard error were 9.09 and 4.256, respectively. Make any necessary assumptions
about the distribution of change in cholesterol level, test the hypothesis that the true average cholesterol level increases.
State the appropriate hypotheses. (Use up
= Hafter - Hbefore)
Ho: HD = 0
Ha: Ho # 0
Hoi HD
= 0
Ha: HD >0
Hoi HD
Ha: HD 2 0
= 0
Ho: Ho = 0
Ha: HD <0
Ho: HD
= 0
Calculate the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
t =
P-value =
Identify the significance levels at which there is sufficient evidence to reject Ho. (Select all that apply.)
a = 0.1
a = 0.05
a = 0.01
a = 0.001
Transcribed Image Text:Antipsychotic drugs are widely prescribed for conditions such as schizophrenia and bipolar disease. An article reported on body composition and metabolic changes for individuals who had taken various antipsychotic drugs for short periods of time. In USE SALT SD (a) The sample of 41 individuals who had taken aripiprazole had a mean change in total cholesterol (mg/dL) of 3.75, and the estimated standard error was 3.678. Calculate a confidence interval with confidence level n approximately 95% for the true average increase in total cholesterol under these circumstances. (Round your answers to two decimal places.) mg/dL (b) The article also reported that for a sample of 36 individuals who had taken quetiapine, the sample mean cholesterol level change and estimated standard error were 9.09 and 4.256, respectively. Make any necessary assumptions about the distribution of change in cholesterol level, test the hypothesis that the true average cholesterol level increases. State the appropriate hypotheses. (Use up = Hafter - Hbefore) Ho: HD = 0 Ha: Ho # 0 Hoi HD = 0 Ha: HD >0 Hoi HD Ha: HD 2 0 = 0 Ho: Ho = 0 Ha: HD <0 Ho: HD = 0 Calculate the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = Identify the significance levels at which there is sufficient evidence to reject Ho. (Select all that apply.) a = 0.1 a = 0.05 a = 0.01 a = 0.001
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